The volume of a rectangular parallelepiped is 2432 cu.cm, and its edges are in the ration 2:3:5. What are the dimensions of the solid?

Let x be one dimension....then the other dimensions are 1.5x  and 2.5x

Therefore  (x)(1.5x)(2.5x) = 2432

So

3.75x^3  = 2432     divide both sides by 3.5

x^3  = 2432/3.75    take the cube root of both sides

x = ³√(2432/3.75 ) = about 8.656cm

And 1.5x = about 12.984cm

And 2.5x = 21.64cm

Proof  8.656 * 12.984 * 21.64 = about 2432.....

Thank you! :)